9x^2+2y^2+100y-72+19=0

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Solution for 9x^2+2y^2+100y-72+19=0 equation:


Simplifying
9x2 + 2y2 + 100y + -72 + 19 = 0

Reorder the terms:
-72 + 19 + 9x2 + 100y + 2y2 = 0

Combine like terms: -72 + 19 = -53
-53 + 9x2 + 100y + 2y2 = 0

Solving
-53 + 9x2 + 100y + 2y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '53' to each side of the equation.
-53 + 9x2 + 100y + 53 + 2y2 = 0 + 53

Reorder the terms:
-53 + 53 + 9x2 + 100y + 2y2 = 0 + 53

Combine like terms: -53 + 53 = 0
0 + 9x2 + 100y + 2y2 = 0 + 53
9x2 + 100y + 2y2 = 0 + 53

Combine like terms: 0 + 53 = 53
9x2 + 100y + 2y2 = 53

Add '-100y' to each side of the equation.
9x2 + 100y + -100y + 2y2 = 53 + -100y

Combine like terms: 100y + -100y = 0
9x2 + 0 + 2y2 = 53 + -100y
9x2 + 2y2 = 53 + -100y

Add '-2y2' to each side of the equation.
9x2 + 2y2 + -2y2 = 53 + -100y + -2y2

Combine like terms: 2y2 + -2y2 = 0
9x2 + 0 = 53 + -100y + -2y2
9x2 = 53 + -100y + -2y2

Divide each side by '9'.
x2 = 5.888888889 + -11.11111111y + -0.2222222222y2

Simplifying
x2 = 5.888888889 + -11.11111111y + -0.2222222222y2

Reorder the terms:
-5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 5.888888889 + -11.11111111y + -0.2222222222y2 + -5.888888889 + 11.11111111y + 0.2222222222y2

Reorder the terms:
-5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 5.888888889 + -5.888888889 + -11.11111111y + 11.11111111y + -0.2222222222y2 + 0.2222222222y2

Combine like terms: 5.888888889 + -5.888888889 = 0.000000000
-5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 0.000000000 + -11.11111111y + 11.11111111y + -0.2222222222y2 + 0.2222222222y2
-5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = -11.11111111y + 11.11111111y + -0.2222222222y2 + 0.2222222222y2

Combine like terms: -11.11111111y + 11.11111111y = 0.00000000
-5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 0.00000000 + -0.2222222222y2 + 0.2222222222y2
-5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = -0.2222222222y2 + 0.2222222222y2

Combine like terms: -0.2222222222y2 + 0.2222222222y2 = 0.0000000000
-5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 0.0000000000

The solution to this equation could not be determined.

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